DOI
10.34229/KCA2522-9664.26.5.12
UDC 519.212.2:681.51
V. Masol
vimasol@ukr.net
DISTRIBUTION OF SOME THREE-DIMENSIONAL EVENTS
IN BERNOULLI SCHEME WITH PARAMETERS (n , p)
Abstract. An explicit form of the joint distribution of an arbitrary fixed triple of events
belonging to one finite family of events in Bernoulli scheme with parameters (n , p)
is established. The relationship between the parameter n and the maximum value of each of the
obtained joint distributions is indicated under the condition p = 2 -1.
The question regarding the parameter p that ensures the maximum value of these joint distribution has been resolved.
Example of estimating the random placement of zeros and ones for some (0,1)-sequences is given.
The example of finding the uniqueness threshold of one linear random Boolean equation system in special set of (0,1)-vectors is illustrated.
Keywords: joint three-dimensional distributions, Bernoulli schema, 2-chain, random Boolean equations.
full text
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